Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. what are the numbers

X = larger number

y = smaller number

Equations:

x - y = 11

x/y = 2 + 4/y

Get rid of fractions in second equation by multiplying by y.

y (x/y = 2 + 4/y)

x = 2y + 4 > plug this into the first equation.

Solve for y and then x.